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On the Strict Arnold Chord Property and Coisotropic Submanifolds of Complex Projective Space.
- Source :
-
IMRN: International Mathematics Research Notices . 2016, Vol. 2016 Issue 3, p795-826. 32p. - Publication Year :
- 2016
-
Abstract
- Let α be a contact form on a manifold M, and L ⊆ M a closed Legendrian submanifold. I prove that L intersects some characteristic for α at least twice if all characteristics are closed and of the same period, and α embeds nicely into the product of R2n and an exact symplectic manifold. As an application of the method of proof, the minimal action of a regular closed coisotropic submanifold of complex projective space is at most π/2. This yields an obstruction to presymplectic embeddings, and in particular to Lagrangian embeddings. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 10737928
- Volume :
- 2016
- Issue :
- 3
- Database :
- Academic Search Index
- Journal :
- IMRN: International Mathematics Research Notices
- Publication Type :
- Academic Journal
- Accession number :
- 113503648
- Full Text :
- https://doi.org/10.1093/imrn/rnv153